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Finding the Fourth Proportional to 3,820.48, 5,732.88 and 2,363.20

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Solution

The fourth proportional to 3,820.48, 5,732.88 and 2,363.20 is: 3,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.48 : 5,732.88 = 2,363.20 : x
  2. Step 2: Convert to fraction form
    3,820.48/5,732.88 = 2,363.20/x
  3. Step 3: Cross multiply
    3,820.48x = 5,732.88 × 2,363.20
  4. Step 4: Simplify right side
    3,820.48x = 13,547,942.02
  5. Step 5: Solve for x
    x = 13,547,942.02/3,820.48
  6. Step 6: Final answer
    x = 3,546.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.